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423042525240324 = 2231137106981027169
BaseRepresentation
bin110000000110000010100001…
…1011100010001110000000100
32001110212110200221201221020120
41200030011003130101300010
5420422112042430142244
64055423015252101540
7155051546100543663
oct14014050334216004
92043773627657216
10423042525240324
11112881366890920
123b5445859048b0
131520897b63ca82
1476675204aadda
1533d9490c54819
hex180c143711c04

423042525240324 has 96 divisors (see below), whose sum is σ = 1106973750019200. Its totient is φ = 124613302210560.

The previous prime is 423042525240323. The next prime is 423042525240371.

423042525240324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4230425252403242 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (423042525240323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35292589 + ... + 45734580.

It is an arithmetic number, because the mean of its divisors is an integer number (11530976562700).

Almost surely, 2423042525240324 is an apocalyptic number.

423042525240324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423042525240324 is an abundant number, since it is smaller than the sum of its proper divisors (683931224778876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423042525240324 is a wasteful number, since it uses less digits than its factorization.

423042525240324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81028293 (or 81028291 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

The spelling of 423042525240324 in words is "four hundred twenty-three trillion, forty-two billion, five hundred twenty-five million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1069 1221 1628 2138 2442 3207 4276 4884 6414 11759 12828 23518 35277 39553 47036 70554 79106 118659 141108 158212 237318 435083 474636 870166 1305249 1740332 2610498 5220996 81027169 162054338 243081507 324108676 486163014 891298859 972326028 1782597718 2673896577 2998005253 3565195436 5347793154 5996010506 8994015759 10695586308 11992021012 17988031518 32978057783 35976063036 65956115566 86618043661 98934173349 131912231132 173236087322 197868346698 259854130983 346472174644 395736693396 519708261966 952798480271 1039416523932 1905596960542 2858395440813 3204867615457 3811193921084 5716790881626 6409735230914 9614602846371 11433581763252 12819470461828 19229205692742 35253543770027 38458411385484 70507087540054 105760631310081 141014175080108 211521262620162 423042525240324